Henry C. Tuckwell

Henry C. Tuckwell's AcademicInfluence.com Rankings

Henry C. Tuckwell

Biology

#11158

World Rank

#14536

Historical Rank

Neuroscience

#1793

World Rank

#1849

Historical Rank

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Biology

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Henry C. Tuckwell's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Introduction to theoretical neurobiology (1988) (1297)
Stochastic processes in the neurosciences (1989) (326)
Introduction to Theoretical Neurobiology: Linear Cable Theory and Dendritic Structure (1988) (264)
World population (1992) (203)
A mathematical model for spreading cortical depression. (1978) (162)
Synaptic transmission in a model for stochastic neural activity. (1979) (99)
Some properties of a simple stochastic epidemic model of SIR type (2006) (85)
A study of some diffusion models of population growth. (1974) (83)
Logistic Growth with Random Density Independent Disasters (1981) (81)
Neuronal interspike time distributions and the estimation of neurophysiological and neuroanatomical parameters. (1978) (81)
On the first-exit time problem for temporally homogeneous Markov processes (1976) (79)
A stochastic model for early HIV-1 population dynamics. (1998) (69)
Analytical and Simulation Results for Stochastic Fitzhugh-Nagumo Neurons and Neural Networks (1998) (66)
Elementary Applications of Probability Theory. (1995) (64)
On the behavior of solutions in viral dynamical models. (2004) (58)
First-passage time of Markov processes to moving barriers (1984) (56)
Accuracy of neuronal interspike times calculated from a diffusion approximation. (1980) (56)
Inhibition of rhythmic neural spiking by noise: the occurrence of a minimum in activity with increasing noise (2009) (55)
Inhibition and modulation of rhythmic neuronal spiking by noise. (2009) (54)
Population growth with randomly distributed jumps (1997) (49)
Quantitative aspects of L-type Ca2+ currents (2012) (44)
Linear cable theory and dendritic structure (1988) (44)
Nonlinear and stochastic theories (1988) (43)
Firing rates of neurons with random excitation and inhibition. (1979) (42)
Determination of Firing Times for the Stochastic Fitzhugh-Nagumo Neuronal Model (2003) (42)
A spatial stochastic neuronal model with Ornstein–Uhlenbeck input current (2002) (41)
Time to first spike in stochastic Hodgkin–Huxley systems (2005) (40)
Optimal control of neuronal activity. (2003) (40)
Time to first spike in stochastic Hodgkin–Huxley systems (2005) (40)
The probability of HIV infection in a new host and its reduction with microbicides. (2008) (39)
The significance of precisely replicating patterns in mammalian CNS spike trains (1997) (39)
Direct HIV testing in blood donations: variation of the yield with detection threshold and pool size (1999) (37)
Analytical and Simulation Results for the Stochastic Spatial Fitzhugh-Nagumo Model Neuron (2008) (34)
Analysis of inverse stochastic resonance and the long-term firing of Hodgkin–Huxley neurons with Gaussian white noise (2012) (32)
Weak Noise in Neurons May Powerfully Inhibit the Generation of Repetitive Spiking but Not Its Propagation (2010) (32)
Coding of odor intensity in a steady-state deterministic model of an olfactory receptor neuron (1996) (32)
The effects of various spatial distributions of weak noise on rhythmic spiking (2011) (31)
Spatial epidemic network models with viral dynamics (1998) (31)
Moment analysis of the Hodgkin–Huxley system with additive noise (2009) (28)
Solitons in a Reaction-Diffusion System (1979) (28)
Random Perturbations of the Reduced Fitzhugh-Nagumo Equation (1992) (27)
Calculation of the photoionization cross section of N2 from first threshold at 500 AA (1970) (27)
Transient termination of spiking by noise in coupled neurons (2007) (27)
Nature of equilibria and effects of drug treatments in some simple viral population dynamical models. (2000) (25)
Elementary applications of probability theory - with an introduction to stochastic differential equations (2. ed.) (1995) (24)
Noisy spiking neurons and networks: useful approximations for firing probabilities and global behavior. (1998) (24)
Simplified reaction-diffusion equations for potassium and calcium ion concentrations during spreading cortical depression. (1981) (24)
Diffusion approximations to channel noise (1987) (22)
Random currents through nerve membranes (1983) (22)
Predictions and properties of a model of potassium and calcium ion movements during spreading cortical depression. (1980) (21)
A meta-analysis of homovanillic acid concentrations in schizophrenia. (1993) (21)
Stochastic Partial Differential Equations in Neurobiology: Linear and Nonlinear Models for Spiking Neurons (2013) (19)
A review of methods for identifying stochastic resonance in simulations of single neuron models (2015) (19)
A dynamical system for the approximate moments of nonlinear stochastic models of spiking neurons and networks (2000) (19)
Logistic population growth under random dispersal. (1987) (18)
Ion and transmitter movements during spreading cortical depression. (1981) (18)
On shunting inhibition (1986) (18)
Analysis and estimation of synaptic densities and their spatial variation on the motoneuron surface (1978) (17)
First passage time to detection in stochastic population dynamical models for HIV-1 (2000) (17)
Some Stochastic Growth Processes (1974) (17)
Computational modeling of spike generation in serotonergic neurons of the dorsal raphe nucleus (2012) (17)
The interspike interval of a cable model neuron with white noise input (2004) (15)
Coding of stimulus intensity in an olfactory receptor neuron: role of neuron spatial extent and passive dendritic backpropagation of action potentials. (1996) (15)
The Effects of Random Selection on Gene Frequency (1976) (15)
Repeating triplets of spikes and oscillations in the mitral cell discharges of freely breathing rats (1999) (15)
Determination of the inter-spike times of neurons receiving randomly arriving post-synaptik potentials (1975) (15)
On the validity of the Franck-Condon factor approximation for photo-ionizing transitions of O2(Σ3g−) (1970) (15)
On the concentration of 5-hydroxyindoleacetic acid in schizophrenia: A meta-analysis (1996) (14)
A mathematical model for evaluating the impact of vaccination schedules: application to Neisseria meningitidis (2003) (14)
Recurrent inhibition and afterhyperpolarization: Effects on neuronal discharge (1978) (14)
Evidence of Soliton-Like Behavior of Solitary Waves in a Nonlinear Reaction-Diffusion System (1980) (14)
Mathematical modeling of spreading cortical depression: spiral and reverberating waves (2008) (14)
Firing properties of a stochastic PDE model of a rat sensory cortex layer 2/3 pyramidal cell. (2004) (13)
Nature of equilibria and effects of drug treatments in some simple viral population dynamical models (2000) (13)
Neuronal interspike time histograms for a random input model. (1978) (13)
Coding of odour intensity in a sensory neuron. (1997) (13)
On the simulation of biological diffusion processes (1997) (13)
Poisson Processes in Biology (1981) (11)
Random perturbations of spiking activity in a pair of coupled neurons (2008) (11)
Introduction to Theoretical Neurobiology: The analysis of stochastic neuronal activity (1988) (10)
Onstochastic models of the activity of single neurons. (1977) (10)
Techniques for obtaining analytical solutions for Rall's model neuron (1987) (10)
Variability in early HIV-1 population dynamics. (1998) (10)
Frequency of firing of Stein's model neuron with application to cells of the dorsal spinocerebellar tract (1976) (10)
Dynamical modeling of viral spread in spatially distributed populations: stochastic origins of oscillations and density dependence (2005) (9)
A Weighted Nonparametric Procedure for the Combination of Independent Events (1994) (9)
Analytical determination of firing times in stochastic nonlinear neural models (2002) (9)
The Space-Clamped Hodgkin-Huxley System with Random Synaptic Input: Inhibition of Spiking by Weak Noise and Analysis with Moment Equations (2016) (9)
The response of a spatially distributed neuron to white noise current injection (1979) (9)
Firing rates of motoneurons with strong random synaptic excitation (1976) (9)
Biophysical properties and computational modeling of calcium spikes in serotonergic neurons of the dorsal raphe nucleus (2012) (9)
Theoretical overview (2003) (9)
Simple mathematical models for urban growth (1992) (8)
Spatial neuron model with two-parameter Ornstein–Uhlenbeck input current (2006) (8)
A neurophysiological theory of a reproductive process. (1989) (8)
Properties of IA in a neuron of the dorsal raphe nucleus (2012) (8)
Probability with a View toward Statistics, Volumes I and II.@@@Elementary Applications of Probability Theory.@@@Problems and Snapshots from the World of Probability.@@@Algorithmic Probability: A Collection of Problems. (1997) (8)
Statistical properties of perturbative nonlinear random diffusion from stochastic integral representations (1987) (8)
A Bayesian method for combining statistical tests (1999) (8)
Introduction to Theoretical Neurobiology: The stochastic activity of neurons (1988) (8)
Enhancement of epidemic spread by noise and stochastic resonance in spatial network models with viral dynamics. (2000) (8)
Effects of partial cross sections on the energy distribution of slow secondary electrons (1976) (7)
The response of a nerve cylinder to spatially distributed white noise inputs. (1980) (7)
Numerical solutions of some stochastic hyperbolic wave equations including sine-Gordon equation (2016) (7)
Voltage clamp calculations for myelinated and demyelinated axons (2004) (6)
Time-dependent solutions for a cable model of an olfactory receptor neuron. (1996) (6)
Stochastic Modeling of Spreading Cortical Depression (2013) (6)
Epidemic spread and bifurcation effects in two-dimensional network models with viral dynamics. (2001) (6)
Computation of spiking activity for a stochastic spatial neuron model: effects of spatial distribution of input on bimodality and CV of the ISI distribution. (2007) (5)
Use of Green's function matrices for systems of diffusion equations (1988) (5)
Perturbative Analysis of Random Nonlinear Reaction-Diffusion Systems (1988) (5)
Cortical network modeling: Analytical methods for firing rates and some properties of networks of LIF neurons (2006) (5)
Introduction to Theoretical Neurobiology: Vol. 1: Linear Cable Theory And Dendrite Structure; Vol. 2: Nonlinear and Stochastic Theories (1990) (5)
Introduction to Theoretical Neurobiology: The Lapicque model of the nerve cell (1988) (5)
On the photoionization cross section and Rydberg series of O2(X3Σ-g) (1971) (5)
Nonlinear effects in white-noise driven spatial diffusion: General analytical results and probabilities of exceeding threshold (2008) (5)
Viral Population Growth Models (2005) (4)
Continuum models in neurobiology and information processing. (1998) (4)
PREDICTING THE PROBABILITY OF PERSISTENCE OF HIV INFECTION WITH THE STANDARD MODEL (2011) (4)
Coding of stimulus intensity in an olfactory receptor neuron: Role of neuron spatial extent and passive dendritic backpropagation of action potentials (1996) (4)
Cortical Potential Distributions and Information Processing (2000) (3)
Some Optimal Stochastic Control Problems in Neuroscience — a Review (2004) (3)
Introduction to Theoretical Neurobiology: Linear cable theory for nerve cylinders and dendritic trees: steady-state solutions (1988) (3)
Random fluctuations at an equilibrium of a nonlinear reaction-diffusion equation (1993) (3)
Estimation of Spike Train Statistics in Spontaneously Active Biological Neural Networks (2007) (3)
Introduction to Theoretical Neurobiology: Time-dependent cable theory for nerve cylinders and dendritic trees (1988) (2)
Mean Field Analysis of Large-Scale Interacting Populations of Stochastic Conductance-Based Spiking Neurons Using the Klimontovich Method (2016) (2)
Some new results on the coding of pheromone intensity in an olfactory sensory neuron (1995) (2)
Repetitive subthreshold synaptic excitation and transmitter depletion. (1978) (2)
Neuronal response to stochastic stimulation (1984) (2)
Simplified models of pacemaker spiking in raphe and locus coeruleus neurons (2015) (2)
Population Growth with Large Random Fluctuations (1980) (2)
Gompertzian population growth under some deterministic and stochastic jump schedules (2016) (1)
World and regional populations. (1993) (1)
On short-term trends and predictions for COVID-19 in France and the USA: comparison with Australia (2020) (1)
Numerical solutions of some hyperbolic stochastic partial differential equations with mixed derivatives including sine-Gordon equation (2015) (1)
Quantitative aspects of L-type calcium currents (2011) (1)
Simple random walks (1988) (1)
On the possible use of ICA to identify synaptic inputs from observations of several neurons (2005) (1)
Logistic population growth under random dispersal (1987) (1)
ON REACTION DYNAMICS AT DOPAMINE SYNAPSES (2007) (1)
Nonlinear Random Reaction-Diffusion Systems (1988) (1)
Chapter 7 Stochastic modeling of spreading cortical depression (2011) (0)
On the rate of convergence in the limit theorem for stochastic integrals with respect to (2016) (0)
Density independent population growth with random survival (2016) (0)
Bio Systems World and regional populations (0)
Determination of activation functions from voltage-clamp data: an example for \IA in dorsal raphe neurons (2011) (0)
The classical theory of membrane potentials (1988) (0)
6. Stochastic Partial Differential Equations (1989) (0)
Population growth II: branching processes (1988) (0)
On the effect of random perturbations in a nonlinear system (1992) (0)
4. Discontinuous Markov Processes with Exponential Decay (1989) (0)
8. Channel Noise (1989) (0)
Mathematics in the Biological Sciences (2008) (0)
2. Synaptic Transmission (1989) (0)
9. Wiener Kernel Expansions (1989) (0)
RELIABIITY OF SPIKE ENCODING IN CORTICAL NEURONS (2003) (0)
Ju l 2 01 1 Quantitative aspects of L-type Ca 2 + currents (2011) (0)
Population genetics and Markov chains (1988) (0)
On the concentration of Shydroxyindoleacetic acid in schizophrenia : A meta-analysis (2003) (0)
Introduction to Theoretical Neurobiology: Rail's model neuron (1988) (0)
Transient termination of synaptically sustained spiking by stochastic inputs in a pair of coupled Type 1 neurons (2007) (0)
Diffusion processes, stochastic differential equations and applications (1995) (0)
Proliferation, Spread and Reaction-Dispersal Processes (1980) (0)
Analysis of inverse stochastic resonance and long-term firing in Hodgkin-Huxley neurons (2012) (0)
Inhibition of repetitive activity by weak noise in the spatial Hodgkin-Huxley system (2009) (0)
PREDICTIONS AND PROPERTIES OF A MODEL DURING SPREADING CORTICAL DEPRESSION OF POTASSIUM AND CALCIUM ION MOVEMENTS (1980) (0)
Journal of Multiscale Neuroscience (2022) (0)
7. The Statistical Analysis of Stochastic Neural Activity (1989) (0)
Some applications of the hypergeometric and Poisson distributions (1988) (0)
The silencing of neuronal activity by noise and the phenomenon of inverse stochastic resonance (2008) (0)
Contribution to Chapter One of Book Motivation for Using Jump Processes in Neurobiological Modeling Sprang Primarily (2002) (0)
Simulation and random numbers (1988) (0)
On distributions of physiological and anatomical variables in pathological conditions: dopamine d2 receptors in schizophrenia and their occupancies after drug treatment (2001) (0)
Theory of the action potential (1988) (0)
Population growth by large random fluctuations (1980) (0)
Introduction to Theoretical Neurobiology: Subthreshold response to synaptic input (1988) (0)
Stochastic Dynamics of Viral Transmission (2006) (0)
Mean Field Analysis of Large-Scale Interacting Populations of Stochastic Conductance-Based Spiking Neurons Using the Klimontovich Method (2017) (0)
10. The Stochastic Activity of Neuronal Populations (1989) (0)
5. One-Dimensional Diffusion Processes (1989) (0)
A note on vaccination against meningococcal meningitis in infants (2004) (0)
Inverse stochastic resonance in neuronal models: modulation and inhibition of rhythmic spiking by noise (2009) (0)
Properties of IA in a serotonergic neuron of the dorsal raphe nucleus (2011) (0)
Stochastic Processes and an Introduction to Stochastic Differential Equations (2018) (0)
Cortical Potential Distributions and Cognitive Information Processing (1999) (0)
Noise induced tuned decrease in firing in neural models: inverse stochastic resonance (2008) (0)
Introduction to Theoretical Neurobiology: Introductory neuroanatomy and neurophysiology: the properties of motoneurons (1988) (0)
Population growth I: birth and death processes (2018) (0)
Convergence of sequences of random variables: the central limit theorem and the laws of large numbers (2018) (0)
Properties of I A in a serotonergic neuron of the dorsal raphe nucleus (2011) (0)
Analysis of pacemaker activity in a two-component model of some brainstem neurons (2017) (0)
3. Early Stochastic Models for Neuronal Activity (1989) (0)
A review of basic probability theory (1988) (0)
1. Deterministic Theories and Stochastic Phenomena in Neurobiology (1989) (0)

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Henry C. Tuckwell's Academic­Influence.com Rankings

Why Is Henry C. Tuckwell Influential?

Henry C. Tuckwell's Published Works

Published Works

What Schools Are Affiliated With Henry C. Tuckwell?

Henry C. Tuckwell's AcademicInfluence.com Rankings